Atkin-Lehner |
3+ 5+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
58905d |
Isogeny class |
Conductor |
58905 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
21888 |
Modular degree for the optimal curve |
Δ |
-1047743235 = -1 · 33 · 5 · 73 · 113 · 17 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- 11- -4 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-258,2229] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:16:1] |
Generators of the group modulo torsion |
j |
-70342705152/38805305 |
j-invariant |
L |
3.5439999574963 |
L(r)(E,1)/r! |
Ω |
1.444815703232 |
Real period |
R |
1.2264539862985 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000297 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
58905n2 |
Quadratic twists by: -3 |